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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 1, Pages 220–230
(Mi timm1159)
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This article is cited in 8 scientific papers (total in 8 papers)
Stability of capture into parametric autoresonance
O. A. Sultanov Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa
Abstract:
A mathematical model describing the initial stage of a capture into parametric autoresonance in nonlinear oscillating systems is considered. The resonance corresponds to solutions with unboundedly growing energy. The stability of such solutions with respect to persistent perturbations on an asymptotically large time interval is investigated. A class of admissible perturbations is described for which a capture into parametric autoresonance occurs.
Keywords:
parametric resonance; nonlinear oscillations; perturbations; stability.
Received: 23.11.2014
Citation:
O. A. Sultanov, “Stability of capture into parametric autoresonance”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 1, 2015, 220–230; Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 156–167
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https://www.mathnet.ru/eng/timm1159 https://www.mathnet.ru/eng/timm/v21/i1/p220
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Abstract page: | 231 | Full-text PDF : | 59 | References: | 43 | First page: | 4 |
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